45796907520 has 960 divisors, whose sum is σ = 202689527040. Its totient is φ = 9650700288.

The previous prime is 45796907459. The next prime is 45796907537. The reversal of 45796907520 is 2570969754.

45796907520 is a `hidden beast` number, since 4 + 57 + 9 + 69 + 0 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×45796907520³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56608876 + ... + 56609684.

It is an arithmetic number, because the mean of its divisors is an integer number (211134924).

Almost surely, 2^45796907520 is an apocalyptic number.

45796907520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45796907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101344763520).

45796907520 is an abundant number, since it is smaller than the sum of its proper divisors (156892619520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45796907520 is an equidigital number, since it uses as much as digits as its factorization.

45796907520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 45796907520 in words is "forty-five billion, seven hundred ninety-six million, nine hundred seven thousand, five hundred twenty".